On Higher Frobenius-Schur Indicators. (Record no. 69782)
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fixed length control field | 03485nam a22005053i 4500 |
001 - CONTROL NUMBER | |
control field | EBC3114251 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | MiAaPQ |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240729124604.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
fixed length control field | m o d | |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr cnu|||||||| |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240724s2006 xx o ||||0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781470404598 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9780821838860 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (MiAaPQ)EBC3114251 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (Au-PeEL)EBL3114251 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (CaPaEBR)ebr11039870 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)922981785 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | MiAaPQ |
Language of cataloging | eng |
Description conventions | rda |
-- | pn |
Transcribing agency | MiAaPQ |
Modifying agency | MiAaPQ |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA613.8 -- .K37 2006eb |
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 510 s;512/.55 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Kashina, Yevgenia. |
245 10 - TITLE STATEMENT | |
Title | On Higher Frobenius-Schur Indicators. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Place of production, publication, distribution, manufacture | Providence : |
Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
Date of production, publication, distribution, manufacture, or copyright notice | 2006. |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Date of production, publication, distribution, manufacture, or copyright notice | ©2006. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (82 pages) |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | computer |
Media type code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | online resource |
Carrier type code | cr |
Source | rdacarrier |
490 1# - SERIES STATEMENT | |
Series statement | Memoirs of the American Mathematical Society ; |
Volume/sequential designation | v.181 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Intro -- Contents -- Introduction -- Chapter 1. The Calculus of Sweedler Powers -- 1.1. Monotone maps -- 1.2. The union of the symmetric groups -- 1.3. Bialgebras -- 1.4. A monoid -- 1.5. Permutations from sequences -- 1.6. Sweedler powers -- Chapter 2. Frobenius-Schur Indicators -- 2.1. Central Sweedler powers -- 2.2. The coproduct of the Sweedler powers -- 2.3. The first formula for the Frobenius-Schur indicators -- 2.4. The Frobenius-Schur theorem -- 2.5. Frobenius-Schur indicators of the regular representation -- Chapter 3. The Exponent -- 3.1. The exponent -- 3.2. The second formula for the Frobenius-Schur indicators -- 3.3. Sweedler powers of the integral -- 3.4. Cauchy's theorem -- Chapter 4. The Order -- 4.1. Order and multiplicity -- 4.2. The divisibility theorem -- 4.3. An example -- 4.4. The dimension of the simple modules -- Chapter 5. The Index -- 5.1. Indecomposable matrices -- 5.2. The normal form -- 5.3. The Perron-Frobenius theorem -- 5.4. The index formula -- Chapter 6. The Drinfel'd Double -- 6.1. The Drinfel'd double -- 6.2. Factorizability -- 6.3. The center of the character ring -- 6.4. The third formula for the Frobenius-Schur indicators -- Chapter 7. Examples -- 7.1. A class of extensions -- 7.2. The coefficients -- 7.3. Sweedler powers of the integral -- 7.4. The simple modules -- 7.5. Nonintegral indicators -- 7.6. Noncocommutative Sweedler powers -- 7.7. Noncentral Sweedler powers -- Bibliography -- Subject Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- L -- M -- N -- O -- P -- R -- S -- T -- U -- V -- W -- Symbol Index. |
588 ## - SOURCE OF DESCRIPTION NOTE | |
Source of description note | Description based on publisher supplied metadata and other sources. |
590 ## - LOCAL NOTE (RLIN) | |
Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Hopf algebras. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Lie superalgebras. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Frobenius algebras. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Cauchy integrals. |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Sommerhäuser, Yorck. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Zhu, Yongchang. |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Print version: |
Main entry heading | Kashina, Yevgenia |
Title | On Higher Frobenius-Schur Indicators |
Place, publisher, and date of publication | Providence : American Mathematical Society,c2006 |
International Standard Book Number | 9780821838860 |
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Memoirs of the American Mathematical Society |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114251">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114251</a> |
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